In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.
|ジャーナル||Proceedings of the IEEE Conference on Decision and Control|
|出版ステータス||Published - 2004 12 1|
|イベント||2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas|
継続期間: 2004 12 14 → 2004 12 17
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